Greatest Common Factor of 7688/376, 2442/2886

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7688/376, 2442/2886

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 7688/376,2442/2886

Given fractions are 7688/376,2442/2886

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 7688,2442

Greatest Common Factor of Numerators i.e. GCF of 7688,2442 is 2 .

LCM of Denominators means LCM of 376,2886 as per the given fractions.

LCM of 376,2886 is 542568 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7688,2442

GCF of Fractions 7688/376,2442/2886 is 2/542568

2 7688, 2442
3844, 1221

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 7688,2442 By Matching Biggest Common Factor Method

Greatest Common Factor of 7688,2442 By Matching Biggest Common Factor Method

Factors of 7688

List of positive integer factors of 7688 that divides 7688 without a remainder.

1,2,4,8,31,62,124,248,961,1922,3844,7688

Factors of 2442

List of positive integer factors of 2442 that divides 2442 without a remainder.

1,2,3,6,11,22,33,37,66,74,111,222,407,814,1221,2442

Greatest Common Factor

We found the factors 7688,2442 . The biggest common factor number is the GCF number.
So the greatest common factor 7688,2442 is 2.

Lets's calculate LCM of 376,2886

2 376, 2886
188, 1443

∴ So the LCM of the given numbers is 2 x 188 x 1443 = 542568

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/542568

Therefore, the GCF of Fractions 7688/376,2442/2886 is 2/542568

Least Common Multiple of 376,2886 with GCF Formula

Least Common Multiple of 376,2886 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 376,2886 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(376,2886) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(376,2886) x common factors =2 x 1 = 2

LCM(376,2886) = ( 376 × 2886 ) / 2

LCM(376,2886) = 1085136 / 2

LCM(376,2886) = 542568


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 7688/376, 2442/2886

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 7688/376, 2442/2886?

Answer: GCF of Numerators as per given numbers 7688/376, 2442/2886 is

GCF of Numerators i.e. for 7688,2442 is 2

LCM of denominators i.e. for 376,2886 is 542568.

Thus, GCF of Fractions is 2/542568.Finally, GCF of Fractions for 7688/376, 2442/2886 is 2/542568.